SOLUTION: Please helppp!! A) could more than one parábola pass through three given points? Give reasons for your answer. B) explain how to pick three points for which no parabola passes t

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Question 1138318: Please helppp!!
A) could more than one parábola pass through three given points? Give reasons for your answer.
B) explain how to pick three points for which no parabola passes through all of them.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
A) one
reason:
Parabola is defined by 3 parameters, a,b,c.
3+points give you 3 equations to find parameters, a,b,c
thus, the set of equations either has exactly one solution or none at all


B) pick three collinear points; no parabola passes through all of them
(recall: parabola goes through three non-collinear points)